286879872 has 64 divisors (see below), whose sum is σ = 771291360. Its totient is φ = 94464000.

The previous prime is 286879867. The next prime is 286879877. The reversal of 286879872 is 278978682.

286879872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (286879867) and next prime (286879877).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (286879877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27372 + ... + 36372.

Almost surely, 2^286879872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385645680).

286879872 is an abundant number, since it is smaller than the sum of its proper divisors (484411488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286879872 is an equidigital number, since it uses as much as digits as its factorization.

286879872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101 (or 9089 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The square root of 286879872 is about 16937.5285092011. The cubic root of 286879872 is about 659.5281843719.

The spelling of 286879872 in words is "two hundred eighty-six million, eight hundred seventy-nine thousand, eight hundred seventy-two".